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Finding the Third Proportional to 3,226,548,015 and 6,943,425,003

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Solution

The third proportional to 3,226,548,015 and 6,943,425,003 is: 14,942,021,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226,548,015 : 6,943,425,003 = 6,943,425,003 : x
  2. Step 2: Convert to fraction form
    3,226,548,015/6,943,425,003 = 6,943,425,003/x
  3. Step 3: Cross multiply
    3,226,548,015x = 6,943,425,003 × 6,943,425,003
  4. Step 4: Simplify right side
    3,226,548,015x = 48,211,150,772,285,546,496
  5. Step 5: Solve for x
    x = 48,211,150,772,285,546,496/3,226,548,015
  6. Step 6: Final answer
    x = 14,942,021,797.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.